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Finding the Fourth Proportional to 385.93, 578.71 and 190.87

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Solution

The fourth proportional to 385.93, 578.71 and 190.87 is: 286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.93 : 578.71 = 190.87 : x
  2. Step 2: Convert to fraction form
    385.93/578.71 = 190.87/x
  3. Step 3: Cross multiply
    385.93x = 578.71 × 190.87
  4. Step 4: Simplify right side
    385.93x = 110,456.27
  5. Step 5: Solve for x
    x = 110,456.27/385.93
  6. Step 6: Final answer
    x = 286.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.